75x^2=300

Solution for 75x^2=300 equation:

75x^2=300

We move all terms to the left:

75x^2-(300)=0

a = 75; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·75·(-300)
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300}{2*75}=\frac{-300}{150}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300}{2*75}=\frac{300}{150}
=2
$